Math 225

[Gburacker]

Please help, I have spent hours on this. Math 225
A softball pitcher has a 0.482 probability of throwing a strike for each pitch. If the softball pitcher throws 29 pitches, what is the probability that no more than 17 of them are strikes?

 

[Romsek]

This is a pretty straightforward application of the binomial distribution. Read up on it and see if you can answer.

 

[Gburacker]

0.723

 

[Gburacker]

Is this correct?

 

[pka]

A softball pitcher has a 0.482 probability of throwing a strike for each pitch. If the softball pitcher throws 29 pitches, what is the probability that no more than 17 of them are strikes?

Suppose that \(\displaystyle X\) is the number of strikes she throws in 28 tries. Then \(\displaystyle X=0,1,2,\cdots,16,17\), that is he throws any number from \(\displaystyle 0 \text{ to }17\). Here is the probability of exactly fifteen, \(\displaystyle \mathcal{P}(X=15)=\binom{29}{15}(0.482)^{15}(0.518)^{14}\approx0.136758\) See Here
To get no more than seventeen HERE IS THE CALCULATION